On some properties of solutions of quasilinear degenerate equations

• Date: 2008
• Main Authors: Amanov, R. A., Mamedov, F. I., Аманов, Р. А., Мамедов, Ф. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3209
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the quasilinear equations div A(x, u, ∇u) = 0 with degeneracy ω(x) from the Muckenhaupt Ap -class, we prove the Harnack inequality, an estimate of the Holder norm, and a sufficient test for the regularity of boundary points of the Wiener type.